What is the Greatest Common Factor of 99625 and 99630?

Greatest common factor (GCF) of 99625 and 99630 is 5.

GCF(99625,99630) = 5

We will now calculate the prime factors of 99625 and 99630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99625 and 99630.

How to find the GCF of 99625 and 99630?

We will first find the prime factorization of 99625 and 99630. After we will calculate the factors of 99625 and 99630 and find the biggest common factor number .

Step-1: Prime Factorization of 99625

Prime factors of 99625 are 5, 797. Prime factorization of 99625 in exponential form is:

99625 = 5³ × 797¹

Step-2: Prime Factorization of 99630

Prime factors of 99630 are 2, 3, 5, 41. Prime factorization of 99630 in exponential form is:

99630 = 2¹ × 3⁵ × 5¹ × 41¹

Step-3: Factors of 99625

List of positive integer factors of 99625 that divides 99625 without a remainder.

1, 5, 25, 125, 797, 3985, 19925

Step-4: Factors of 99630

List of positive integer factors of 99630 that divides 99625 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 41, 45, 54, 81, 82, 90, 123, 135, 162, 205, 243, 246, 270, 369, 405, 410, 486, 615, 738, 810, 1107, 1215, 1230, 1845, 2214, 2430, 3321, 3690, 5535, 6642, 9963, 11070, 16605, 19926, 33210, 49815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99625 and 99630. The biggest common factor number is the GCF number.
So the greatest common factor 99625 and 99630 is 5.

Also check out the Least Common Multiple of 99625 and 99630